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Finding the Fourth Proportional to 925.16, 1,275.89 and 768.02

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Solution

The fourth proportional to 925.16, 1,275.89 and 768.02 is: 1,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.16 : 1,275.89 = 768.02 : x
  2. Step 2: Convert to fraction form
    925.16/1,275.89 = 768.02/x
  3. Step 3: Cross multiply
    925.16x = 1,275.89 × 768.02
  4. Step 4: Simplify right side
    925.16x = 979,898.82
  5. Step 5: Solve for x
    x = 979,898.82/925.16
  6. Step 6: Final answer
    x = 1,059.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.